SSC Selection Post 2024 PYQ — Question 53

SSC Selection Post - Graduation Level - 20 Jun 2024 Shift 3 • Quantitative Aptitude • Q53

If a 9 digit number 389x6378y is divisible  by 72 , then the value of 6x + 7y is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 64.

If a number is divisible by 72, it means it is divisible by both 8 and 9.

To make 78y divisible by 8, put y = 4

Now, the number is 389x63784

Now, sum of digits = 3 + 8 + 9 + x + 6 + 3 + 7 + 8 + 4 = 48 + x

Now, put x = 6

Required answer = 6(6) + 7(4)

⇒ 36 + 28 = 64